Question

Can someone please answer and explain how they got it.

y varies inversely with x k = 5.4 What is the value of y when x is 27?
A. y = 0.2
B. y = 2
C. y = 5
D. y = 145.8

Answer 1

`\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{since we already know what \underline{k} is}\qquad y=\cfrac{5.4}{x} \\\\\\ \textit{when x=27, what is the value of \underline{y}?}\qquad y=\cfrac{5.4}{27}\implies y=0.2`